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Calculation of the Laplace transform of the length of the busy period for the M/G/1 queue via martingales

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Publication:1050716
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DOI10.1214/aop/1176993531zbMath0513.60093OpenAlexW2048829912MaRDI QIDQ1050716

Walter A. Rosenkrantz

Publication date: 1983

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176993531


zbMATH Keywords

Laplace transformbusy periodmartingale method


Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Martingales with continuous parameter (60G44)


Related Items

The expected wet period of finite dam with exponential inputs. ⋮ Rejection rules in the \(M/G/1\) queue ⋮ Excursions of the workload process in \(G/GI/1\) queues ⋮ A large-deviations analysis of the GI/GI/1 SRPT queue ⋮ Some Time-Dependent Properties of Symmetric M/G/1 Queues ⋮ Computable exponential convergence rates for stochastically ordered Markov processes ⋮ Time-dependent properties of symmetric queues ⋮ Processor sharing: a survey of the mathematical theory ⋮ First exit times for compound Poisson dams with a general release rule ⋮ The derivation of the Laplace transform of a wet period in a finite dam via martingales ⋮ Martingale relations for the M/GI/1 queue with Markov modulated Poisson input



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